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Finding the Fourth Proportional to 565,617.43, 780,331.23 and 323,770.78

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Solution

The fourth proportional to 565,617.43, 780,331.23 and 323,770.78 is: 446,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,617.43 : 780,331.23 = 323,770.78 : x
  2. Step 2: Convert to fraction form
    565,617.43/780,331.23 = 323,770.78/x
  3. Step 3: Cross multiply
    565,617.43x = 780,331.23 × 323,770.78
  4. Step 4: Simplify right side
    565,617.43x = 252,648,450,995.46
  5. Step 5: Solve for x
    x = 252,648,450,995.46/565,617.43
  6. Step 6: Final answer
    x = 446,677.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.